Spontaneously broken phase and Galilei transformations in Weyl systems

Representation in Hilbert bundle of соvariant Weyl systems with spontaneous breakdown of symmetry is discussed. Equivalence of direct integral realizations of с о variant IVeyl systems with representation in thespace of the sections of the Hilbert bundle is established. Spontaneous breakdown of phase transformations for the Weyl systems, realized by Hilbert bundle representation, is investigated. Generalized (after Rocca andSirigue) phase operator and phase states is constructed in this formalism. Bibl. – 15.